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Three-Nucleon Forces Through Normal-Ordered Approximations

Three-body forces have long been known to play an important role in nuclear physics.
However, fully including such interactions in ab-initio methods is computationally
expensive and not feasible for larger nuclei. As an alternative, approximations based
on normal-ordering with respect to a Fermi state of the nucleus can be used. In this
framework part of the three-body interaction can be expressed as lower order interactions,
which can be included without increasing the computational complexity.
This thesis provides a full derivation of the normal-ordered two-body (NO2B) approximation
for closed-shell nuclei. In addition, a simple implementation of this
method is described. This is then used to calculate ground states of helium-4 in
small model spaces, which are compared to the corresponding calculations with full
three-body forces. The results show a relative error of less than 1.5%, in line with
earlier studies.

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BibTeX @mastersthesis{Fahlin Strömberg2016,author={Fahlin Strömberg, Dag},title={Three-Nucleon Forces Through Normal-Ordered Approximations},abstract={Three-body forces have long been known to play an important role in nuclear physics.
However, fully including such interactions in ab-initio methods is computationally
expensive and not feasible for larger nuclei. As an alternative, approximations based
on normal-ordering with respect to a Fermi state of the nucleus can be used. In this
framework part of the three-body interaction can be expressed as lower order interactions,
which can be included without increasing the computational complexity.
This thesis provides a full derivation of the normal-ordered two-body (NO2B) approximation
for closed-shell nuclei. In addition, a simple implementation of this
method is described. This is then used to calculate ground states of helium-4 in
small model spaces, which are compared to the corresponding calculations with full
three-body forces. The results show a relative error of less than 1.5%, in line with
earlier studies.},publisher={Institutionen för fysik (Chalmers), Chalmers tekniska högskola},place={Göteborg},year={2016},keywords={ab-initio, nuclear physics, normal-ordered approximation, quantum manybody theory, three-nucleon forces},note={44},}

RefWorks RT GenericSR ElectronicID 244698A1 Fahlin Strömberg, DagT1 Three-Nucleon Forces Through Normal-Ordered ApproximationsYR 2016AB Three-body forces have long been known to play an important role in nuclear physics.
However, fully including such interactions in ab-initio methods is computationally
expensive and not feasible for larger nuclei. As an alternative, approximations based
on normal-ordering with respect to a Fermi state of the nucleus can be used. In this
framework part of the three-body interaction can be expressed as lower order interactions,
which can be included without increasing the computational complexity.
This thesis provides a full derivation of the normal-ordered two-body (NO2B) approximation
for closed-shell nuclei. In addition, a simple implementation of this
method is described. This is then used to calculate ground states of helium-4 in
small model spaces, which are compared to the corresponding calculations with full
three-body forces. The results show a relative error of less than 1.5%, in line with
earlier studies.PB Institutionen för fysik (Chalmers), Chalmers tekniska högskola,LA engLK http://publications.lib.chalmers.se/records/fulltext/244698/244698.pdfOL 30